What is the Least Common Multiple of 70536 and 70544?

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 70544 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 70544, than apply into the LCM equation.

GCF(70536,70544) = 8
LCM(70536,70544) = ( 70536 × 70544) / 8
LCM(70536,70544) = 4975891584 / 8
LCM(70536,70544) = 621986448

Least Common Multiple (LCM) of 70536 and 70544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70536 and 70544. First we will calculate the prime factors of 70536 and 70544.

Prime Factorization of 70536

Prime Factorization of 70544

Now multiplying the highest exponent prime factors to calculate the LCM of 70536 and 70544.

LCM(70536,70544) = 2⁴ × 3¹ × 2939¹ × 4409¹
LCM(70536,70544) = 621986448