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What is the Least Common Multiple of 91938 and 91948?

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 91938 and 91948 is 4226757612.

LCM(91938,91948) = 4226757612

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Least Common Multiple of 91938 and 91948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91938 and 91948, than apply into the LCM equation.

GCF(91938,91948) = 2
LCM(91938,91948) = ( 91938 × 91948) / 2
LCM(91938,91948) = 8453515224 / 2
LCM(91938,91948) = 4226757612

Least Common Multiple (LCM) of 91938 and 91948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91938 and 91948. First we will calculate the prime factors of 91938 and 91948.

Prime Factorization of 91938

Prime factors of 91938 are 2, 3, 7, 11, 199. Prime factorization of 91938 in exponential form is:

91938 = 21 × 31 × 71 × 111 × 1991

Prime Factorization of 91948

Prime factors of 91948 are 2, 127, 181. Prime factorization of 91948 in exponential form is:

91948 = 22 × 1271 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 91938 and 91948.

LCM(91938,91948) = 22 × 31 × 71 × 111 × 1991 × 1271 × 1811
LCM(91938,91948) = 4226757612