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What is the Least Common Multiple of 77341 and 77352?

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 77341 and 77352 is 543861912.

LCM(77341,77352) = 543861912

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Least Common Multiple of 77341 and 77352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77341 and 77352, than apply into the LCM equation.

GCF(77341,77352) = 11
LCM(77341,77352) = ( 77341 × 77352) / 11
LCM(77341,77352) = 5982481032 / 11
LCM(77341,77352) = 543861912

Least Common Multiple (LCM) of 77341 and 77352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77341 and 77352. First we will calculate the prime factors of 77341 and 77352.

Prime Factorization of 77341

Prime factors of 77341 are 11, 79, 89. Prime factorization of 77341 in exponential form is:

77341 = 111 × 791 × 891

Prime Factorization of 77352

Prime factors of 77352 are 2, 3, 11, 293. Prime factorization of 77352 in exponential form is:

77352 = 23 × 31 × 111 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 77341 and 77352.

LCM(77341,77352) = 111 × 791 × 891 × 23 × 31 × 2931
LCM(77341,77352) = 543861912