What is the Least Common Multiple of 72974 and 72982?

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 72974 and 72982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72974 and 72982, than apply into the LCM equation.

GCF(72974,72982) = 2
LCM(72974,72982) = ( 72974 × 72982) / 2
LCM(72974,72982) = 5325788468 / 2
LCM(72974,72982) = 2662894234

Least Common Multiple (LCM) of 72974 and 72982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72974 and 72982. First we will calculate the prime factors of 72974 and 72982.

Prime Factorization of 72974

Prime Factorization of 72982

Now multiplying the highest exponent prime factors to calculate the LCM of 72974 and 72982.

LCM(72974,72982) = 2¹ × 11¹ × 31¹ × 107¹ × 7¹ × 13¹ × 401¹
LCM(72974,72982) = 2662894234