What is the Least Common Multiple of 70509 and 70528?

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 70509 and 70528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70509 and 70528, than apply into the LCM equation.

GCF(70509,70528) = 19
LCM(70509,70528) = ( 70509 × 70528) / 19
LCM(70509,70528) = 4972858752 / 19
LCM(70509,70528) = 261729408

Least Common Multiple (LCM) of 70509 and 70528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70509 and 70528. First we will calculate the prime factors of 70509 and 70528.

Prime Factorization of 70509

Prime Factorization of 70528

Now multiplying the highest exponent prime factors to calculate the LCM of 70509 and 70528.

LCM(70509,70528) = 3¹ × 19¹ × 1237¹ × 2⁷ × 29¹
LCM(70509,70528) = 261729408