What is the Least Common Multiple of 70974 and 70992?

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 70974 and 70992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70974 and 70992, than apply into the LCM equation.

GCF(70974,70992) = 18
LCM(70974,70992) = ( 70974 × 70992) / 18
LCM(70974,70992) = 5038586208 / 18
LCM(70974,70992) = 279921456

Least Common Multiple (LCM) of 70974 and 70992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70974 and 70992. First we will calculate the prime factors of 70974 and 70992.

Prime Factorization of 70974

Prime Factorization of 70992

Now multiplying the highest exponent prime factors to calculate the LCM of 70974 and 70992.

LCM(70974,70992) = 2⁴ × 3² × 3943¹ × 17¹ × 29¹
LCM(70974,70992) = 279921456