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What is the Least Common Multiple of 39022 and 39028?

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 39022 and 39028 is 761475308.

LCM(39022,39028) = 761475308

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Least Common Multiple of 39022 and 39028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39022 and 39028, than apply into the LCM equation.

GCF(39022,39028) = 2
LCM(39022,39028) = ( 39022 × 39028) / 2
LCM(39022,39028) = 1522950616 / 2
LCM(39022,39028) = 761475308

Least Common Multiple (LCM) of 39022 and 39028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39022 and 39028. First we will calculate the prime factors of 39022 and 39028.

Prime Factorization of 39022

Prime factors of 39022 are 2, 109, 179. Prime factorization of 39022 in exponential form is:

39022 = 21 × 1091 × 1791

Prime Factorization of 39028

Prime factors of 39028 are 2, 11, 887. Prime factorization of 39028 in exponential form is:

39028 = 22 × 111 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 39022 and 39028.

LCM(39022,39028) = 22 × 1091 × 1791 × 111 × 8871
LCM(39022,39028) = 761475308