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What is the Least Common Multiple of 77847 and 77867?

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 77847 and 77867 is 6061712349.

LCM(77847,77867) = 6061712349

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Least Common Multiple of 77847 and 77867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77847 and 77867, than apply into the LCM equation.

GCF(77847,77867) = 1
LCM(77847,77867) = ( 77847 × 77867) / 1
LCM(77847,77867) = 6061712349 / 1
LCM(77847,77867) = 6061712349

Least Common Multiple (LCM) of 77847 and 77867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77847 and 77867. First we will calculate the prime factors of 77847 and 77867.

Prime Factorization of 77847

Prime factors of 77847 are 3, 7, 11, 337. Prime factorization of 77847 in exponential form is:

77847 = 31 × 71 × 111 × 3371

Prime Factorization of 77867

Prime factors of 77867 are 77867. Prime factorization of 77867 in exponential form is:

77867 = 778671

Now multiplying the highest exponent prime factors to calculate the LCM of 77847 and 77867.

LCM(77847,77867) = 31 × 71 × 111 × 3371 × 778671
LCM(77847,77867) = 6061712349