What is the Least Common Multiple of 415 and 423?
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 415 and 423 is 175545.
LCM(415,423) = 175545
Least Common Multiple of 415 and 423 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 415 and 423, than apply into the LCM equation.
GCF(415,423) = 1
LCM(415,423) = ( 415 × 423) / 1
LCM(415,423) = 175545 / 1
LCM(415,423) = 175545
Least Common Multiple (LCM) of 415 and 423 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 415 and 423. First we will calculate the prime factors of 415 and 423.
Prime Factorization of 415
Prime factors of 415 are 5, 83. Prime factorization of 415 in exponential form is:
415 = 51 × 831
Prime Factorization of 423
Prime factors of 423 are 3, 47. Prime factorization of 423 in exponential form is:
423 = 32 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 415 and 423.
LCM(415,423) = 51 × 831 × 32 × 471
LCM(415,423) = 175545
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Related Least Common Multiples of 423
- LCM of 423 and 427
- LCM of 423 and 428
- LCM of 423 and 429
- LCM of 423 and 430
- LCM of 423 and 431
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- LCM of 423 and 441
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