What is the Least Common Multiple of 45974 and 45989?

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 45974 and 45989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45974 and 45989, than apply into the LCM equation.

GCF(45974,45989) = 1
LCM(45974,45989) = ( 45974 × 45989) / 1
LCM(45974,45989) = 2114298286 / 1
LCM(45974,45989) = 2114298286

Least Common Multiple (LCM) of 45974 and 45989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45974 and 45989. First we will calculate the prime factors of 45974 and 45989.

Prime Factorization of 45974

Prime Factorization of 45989

Now multiplying the highest exponent prime factors to calculate the LCM of 45974 and 45989.

LCM(45974,45989) = 2¹ × 127¹ × 181¹ × 45989¹
LCM(45974,45989) = 2114298286