What is the Least Common Multiple of 411 and 417?
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 411 and 417 is 57129.
LCM(411,417) = 57129
Least Common Multiple of 411 and 417 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 411 and 417, than apply into the LCM equation.
GCF(411,417) = 3
LCM(411,417) = ( 411 × 417) / 3
LCM(411,417) = 171387 / 3
LCM(411,417) = 57129
Least Common Multiple (LCM) of 411 and 417 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 411 and 417. First we will calculate the prime factors of 411 and 417.
Prime Factorization of 411
Prime factors of 411 are 3, 137. Prime factorization of 411 in exponential form is:
411 = 31 × 1371
Prime Factorization of 417
Prime factors of 417 are 3, 139. Prime factorization of 417 in exponential form is:
417 = 31 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 411 and 417.
LCM(411,417) = 31 × 1371 × 1391
LCM(411,417) = 57129
Related Least Common Multiples of 411
- LCM of 411 and 415
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Related Least Common Multiples of 417
- LCM of 417 and 421
- LCM of 417 and 422
- LCM of 417 and 423
- LCM of 417 and 424
- LCM of 417 and 425
- LCM of 417 and 426
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