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What is the Least Common Multiple of 91947 and 91956?

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 91947 and 91956 is 2818359444.

LCM(91947,91956) = 2818359444

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Least Common Multiple of 91947 and 91956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91947 and 91956, than apply into the LCM equation.

GCF(91947,91956) = 3
LCM(91947,91956) = ( 91947 × 91956) / 3
LCM(91947,91956) = 8455078332 / 3
LCM(91947,91956) = 2818359444

Least Common Multiple (LCM) of 91947 and 91956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91947 and 91956. First we will calculate the prime factors of 91947 and 91956.

Prime Factorization of 91947

Prime factors of 91947 are 3, 30649. Prime factorization of 91947 in exponential form is:

91947 = 31 × 306491

Prime Factorization of 91956

Prime factors of 91956 are 2, 3, 79, 97. Prime factorization of 91956 in exponential form is:

91956 = 22 × 31 × 791 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 91947 and 91956.

LCM(91947,91956) = 31 × 306491 × 22 × 791 × 971
LCM(91947,91956) = 2818359444