What is the Least Common Multiple of 18974 and 18992?

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 of 18974 and 18992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18974 and 18992, than apply into the LCM equation.

GCF(18974,18992) = 2
LCM(18974,18992) = ( 18974 × 18992) / 2
LCM(18974,18992) = 360354208 / 2
LCM(18974,18992) = 180177104

Least Common Multiple (LCM) of 18974 and 18992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18974 and 18992. First we will calculate the prime factors of 18974 and 18992.

Prime Factorization of 18974

Prime Factorization of 18992

Now multiplying the highest exponent prime factors to calculate the LCM of 18974 and 18992.

LCM(18974,18992) = 2⁴ × 53¹ × 179¹ × 1187¹
LCM(18974,18992) = 180177104