What is the Least Common Multiple of 74972 and 74989?

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 74972 and 74989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74972 and 74989, than apply into the LCM equation.

GCF(74972,74989) = 1
LCM(74972,74989) = ( 74972 × 74989) / 1
LCM(74972,74989) = 5622075308 / 1
LCM(74972,74989) = 5622075308

Least Common Multiple (LCM) of 74972 and 74989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74972 and 74989. First we will calculate the prime factors of 74972 and 74989.

Prime Factorization of 74972

Prime Factorization of 74989

Now multiplying the highest exponent prime factors to calculate the LCM of 74972 and 74989.

LCM(74972,74989) = 2² × 18743¹ × 31¹ × 41¹ × 59¹
LCM(74972,74989) = 5622075308