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What is the Least Common Multiple of 29612 and 29624?

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 29612 and 29624 is 219306472.

LCM(29612,29624) = 219306472

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Least Common Multiple of 29612 and 29624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29612 and 29624, than apply into the LCM equation.

GCF(29612,29624) = 4
LCM(29612,29624) = ( 29612 × 29624) / 4
LCM(29612,29624) = 877225888 / 4
LCM(29612,29624) = 219306472

Least Common Multiple (LCM) of 29612 and 29624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29612 and 29624. First we will calculate the prime factors of 29612 and 29624.

Prime Factorization of 29612

Prime factors of 29612 are 2, 11, 673. Prime factorization of 29612 in exponential form is:

29612 = 22 × 111 × 6731

Prime Factorization of 29624

Prime factors of 29624 are 2, 7, 23. Prime factorization of 29624 in exponential form is:

29624 = 23 × 71 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 29612 and 29624.

LCM(29612,29624) = 23 × 111 × 6731 × 71 × 232
LCM(29612,29624) = 219306472