What is the Least Common Multiple of 70965 and 70974?

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 70965 and 70974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70965 and 70974, than apply into the LCM equation.

GCF(70965,70974) = 9
LCM(70965,70974) = ( 70965 × 70974) / 9
LCM(70965,70974) = 5036669910 / 9
LCM(70965,70974) = 559629990

Least Common Multiple (LCM) of 70965 and 70974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70965 and 70974. First we will calculate the prime factors of 70965 and 70974.

Prime Factorization of 70965

Prime Factorization of 70974

Now multiplying the highest exponent prime factors to calculate the LCM of 70965 and 70974.

LCM(70965,70974) = 3² × 5¹ × 19¹ × 83¹ × 2¹ × 3943¹
LCM(70965,70974) = 559629990