What is the Least Common Multiple of 42974 and 42983?

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 42974 and 42983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42974 and 42983, than apply into the LCM equation.

GCF(42974,42983) = 1
LCM(42974,42983) = ( 42974 × 42983) / 1
LCM(42974,42983) = 1847151442 / 1
LCM(42974,42983) = 1847151442

Least Common Multiple (LCM) of 42974 and 42983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42974 and 42983. First we will calculate the prime factors of 42974 and 42983.

Prime Factorization of 42974

Prime Factorization of 42983

Now multiplying the highest exponent prime factors to calculate the LCM of 42974 and 42983.

LCM(42974,42983) = 2¹ × 21487¹ × 53¹ × 811¹
LCM(42974,42983) = 1847151442