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What is the Least Common Multiple of 66415 and 66435?

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 66415 and 66435 is 882456105.

LCM(66415,66435) = 882456105

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Least Common Multiple of 66415 and 66435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66415 and 66435, than apply into the LCM equation.

GCF(66415,66435) = 5
LCM(66415,66435) = ( 66415 × 66435) / 5
LCM(66415,66435) = 4412280525 / 5
LCM(66415,66435) = 882456105

Least Common Multiple (LCM) of 66415 and 66435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66415 and 66435. First we will calculate the prime factors of 66415 and 66435.

Prime Factorization of 66415

Prime factors of 66415 are 5, 37, 359. Prime factorization of 66415 in exponential form is:

66415 = 51 × 371 × 3591

Prime Factorization of 66435

Prime factors of 66435 are 3, 5, 43, 103. Prime factorization of 66435 in exponential form is:

66435 = 31 × 51 × 431 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 66415 and 66435.

LCM(66415,66435) = 51 × 371 × 3591 × 31 × 431 × 1031
LCM(66415,66435) = 882456105