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What is the Least Common Multiple of 16722 and 16737?

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 16722 and 16737 is 93292038.

LCM(16722,16737) = 93292038

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Least Common Multiple of 16722 and 16737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16722 and 16737, than apply into the LCM equation.

GCF(16722,16737) = 3
LCM(16722,16737) = ( 16722 × 16737) / 3
LCM(16722,16737) = 279876114 / 3
LCM(16722,16737) = 93292038

Least Common Multiple (LCM) of 16722 and 16737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16722 and 16737. First we will calculate the prime factors of 16722 and 16737.

Prime Factorization of 16722

Prime factors of 16722 are 2, 3, 929. Prime factorization of 16722 in exponential form is:

16722 = 21 × 32 × 9291

Prime Factorization of 16737

Prime factors of 16737 are 3, 7, 797. Prime factorization of 16737 in exponential form is:

16737 = 31 × 71 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 16722 and 16737.

LCM(16722,16737) = 21 × 32 × 9291 × 71 × 7971
LCM(16722,16737) = 93292038