What is the Least Common Multiple of 70520 and 70536?

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 70520 and 70536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70520 and 70536, than apply into the LCM equation.

GCF(70520,70536) = 8
LCM(70520,70536) = ( 70520 × 70536) / 8
LCM(70520,70536) = 4974198720 / 8
LCM(70520,70536) = 621774840

Least Common Multiple (LCM) of 70520 and 70536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70520 and 70536. First we will calculate the prime factors of 70520 and 70536.

Prime Factorization of 70520

Prime Factorization of 70536

Now multiplying the highest exponent prime factors to calculate the LCM of 70520 and 70536.

LCM(70520,70536) = 2³ × 5¹ × 41¹ × 43¹ × 3¹ × 2939¹
LCM(70520,70536) = 621774840