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What is the Least Common Multiple of 88938 and 88955?

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 88938 and 88955 is 7911479790.

LCM(88938,88955) = 7911479790

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Least Common Multiple of 88938 and 88955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88938 and 88955, than apply into the LCM equation.

GCF(88938,88955) = 1
LCM(88938,88955) = ( 88938 × 88955) / 1
LCM(88938,88955) = 7911479790 / 1
LCM(88938,88955) = 7911479790

Least Common Multiple (LCM) of 88938 and 88955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88938 and 88955. First we will calculate the prime factors of 88938 and 88955.

Prime Factorization of 88938

Prime factors of 88938 are 2, 3, 61. Prime factorization of 88938 in exponential form is:

88938 = 21 × 36 × 611

Prime Factorization of 88955

Prime factors of 88955 are 5, 17791. Prime factorization of 88955 in exponential form is:

88955 = 51 × 177911

Now multiplying the highest exponent prime factors to calculate the LCM of 88938 and 88955.

LCM(88938,88955) = 21 × 36 × 611 × 51 × 177911
LCM(88938,88955) = 7911479790