What is the Least Common Multiple of 70509 and 70526?

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 70526 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 70526, than apply into the LCM equation.

GCF(70509,70526) = 1
LCM(70509,70526) = ( 70509 × 70526) / 1
LCM(70509,70526) = 4972717734 / 1
LCM(70509,70526) = 4972717734

Least Common Multiple (LCM) of 70509 and 70526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70509 and 70526. First we will calculate the prime factors of 70509 and 70526.

Prime Factorization of 70509

Prime Factorization of 70526

Now multiplying the highest exponent prime factors to calculate the LCM of 70509 and 70526.

LCM(70509,70526) = 3¹ × 19¹ × 1237¹ × 2¹ × 179¹ × 197¹
LCM(70509,70526) = 4972717734