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What is the Least Common Multiple of 43624 and 43642?

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 43624 and 43642 is 951919304.

LCM(43624,43642) = 951919304

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Least Common Multiple of 43624 and 43642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43624 and 43642, than apply into the LCM equation.

GCF(43624,43642) = 2
LCM(43624,43642) = ( 43624 × 43642) / 2
LCM(43624,43642) = 1903838608 / 2
LCM(43624,43642) = 951919304

Least Common Multiple (LCM) of 43624 and 43642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43624 and 43642. First we will calculate the prime factors of 43624 and 43642.

Prime Factorization of 43624

Prime factors of 43624 are 2, 7, 19, 41. Prime factorization of 43624 in exponential form is:

43624 = 23 × 71 × 191 × 411

Prime Factorization of 43642

Prime factors of 43642 are 2, 21821. Prime factorization of 43642 in exponential form is:

43642 = 21 × 218211

Now multiplying the highest exponent prime factors to calculate the LCM of 43624 and 43642.

LCM(43624,43642) = 23 × 71 × 191 × 411 × 218211
LCM(43624,43642) = 951919304