What is the Least Common Multiple of 70536 and 70542?

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 70536 and 70542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70536 and 70542, than apply into the LCM equation.

GCF(70536,70542) = 6
LCM(70536,70542) = ( 70536 × 70542) / 6
LCM(70536,70542) = 4975750512 / 6
LCM(70536,70542) = 829291752

Least Common Multiple (LCM) of 70536 and 70542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70536 and 70542. First we will calculate the prime factors of 70536 and 70542.

Prime Factorization of 70536

Prime Factorization of 70542

Now multiplying the highest exponent prime factors to calculate the LCM of 70536 and 70542.

LCM(70536,70542) = 2³ × 3² × 2939¹ × 3919¹
LCM(70536,70542) = 829291752