GCF and LCM Calculator Logo

What is the Least Common Multiple of 18896 and 18915?

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 18896 and 18915 is 357417840.

LCM(18896,18915) = 357417840

LCM Calculator and
and

Least Common Multiple of 18896 and 18915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18896 and 18915, than apply into the LCM equation.

GCF(18896,18915) = 1
LCM(18896,18915) = ( 18896 × 18915) / 1
LCM(18896,18915) = 357417840 / 1
LCM(18896,18915) = 357417840

Least Common Multiple (LCM) of 18896 and 18915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18896 and 18915. First we will calculate the prime factors of 18896 and 18915.

Prime Factorization of 18896

Prime factors of 18896 are 2, 1181. Prime factorization of 18896 in exponential form is:

18896 = 24 × 11811

Prime Factorization of 18915

Prime factors of 18915 are 3, 5, 13, 97. Prime factorization of 18915 in exponential form is:

18915 = 31 × 51 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 18896 and 18915.

LCM(18896,18915) = 24 × 11811 × 31 × 51 × 131 × 971
LCM(18896,18915) = 357417840