What is the Least Common Multiple of 49420 and 49425?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 49420 and 49425 is 488516700.
LCM(49420,49425) = 488516700
Least Common Multiple of 49420 and 49425 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49420 and 49425, than apply into the LCM equation.
GCF(49420,49425) = 5
LCM(49420,49425) = ( 49420 × 49425) / 5
LCM(49420,49425) = 2442583500 / 5
LCM(49420,49425) = 488516700
Least Common Multiple (LCM) of 49420 and 49425 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49420 and 49425. First we will calculate the prime factors of 49420 and 49425.
Prime Factorization of 49420
Prime factors of 49420 are 2, 5, 7, 353. Prime factorization of 49420 in exponential form is:
49420 = 22 × 51 × 71 × 3531
Prime Factorization of 49425
Prime factors of 49425 are 3, 5, 659. Prime factorization of 49425 in exponential form is:
49425 = 31 × 52 × 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 49420 and 49425.
LCM(49420,49425) = 22 × 52 × 71 × 3531 × 31 × 6591
LCM(49420,49425) = 488516700
Related Least Common Multiples of 49420
- LCM of 49420 and 49424
- LCM of 49420 and 49425
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- LCM of 49420 and 49429
- LCM of 49420 and 49430
- LCM of 49420 and 49431
- LCM of 49420 and 49432
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- LCM of 49420 and 49436
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Related Least Common Multiples of 49425
- LCM of 49425 and 49429
- LCM of 49425 and 49430
- LCM of 49425 and 49431
- LCM of 49425 and 49432
- LCM of 49425 and 49433
- LCM of 49425 and 49434
- LCM of 49425 and 49435
- LCM of 49425 and 49436
- LCM of 49425 and 49437
- LCM of 49425 and 49438
- LCM of 49425 and 49439
- LCM of 49425 and 49440
- LCM of 49425 and 49441
- LCM of 49425 and 49442
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