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What is the Least Common Multiple of 26658 and 26664?

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 26658 and 26664 is 118468152.

LCM(26658,26664) = 118468152

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Least Common Multiple of 26658 and 26664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26658 and 26664, than apply into the LCM equation.

GCF(26658,26664) = 6
LCM(26658,26664) = ( 26658 × 26664) / 6
LCM(26658,26664) = 710808912 / 6
LCM(26658,26664) = 118468152

Least Common Multiple (LCM) of 26658 and 26664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26658 and 26664. First we will calculate the prime factors of 26658 and 26664.

Prime Factorization of 26658

Prime factors of 26658 are 2, 3, 1481. Prime factorization of 26658 in exponential form is:

26658 = 21 × 32 × 14811

Prime Factorization of 26664

Prime factors of 26664 are 2, 3, 11, 101. Prime factorization of 26664 in exponential form is:

26664 = 23 × 31 × 111 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 26658 and 26664.

LCM(26658,26664) = 23 × 32 × 14811 × 111 × 1011
LCM(26658,26664) = 118468152