What is the Least Common Multiple of 70530 and 70538?

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 70530 and 70538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70530 and 70538, than apply into the LCM equation.

GCF(70530,70538) = 2
LCM(70530,70538) = ( 70530 × 70538) / 2
LCM(70530,70538) = 4975045140 / 2
LCM(70530,70538) = 2487522570

Least Common Multiple (LCM) of 70530 and 70538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70530 and 70538. First we will calculate the prime factors of 70530 and 70538.

Prime Factorization of 70530

Prime Factorization of 70538

Now multiplying the highest exponent prime factors to calculate the LCM of 70530 and 70538.

LCM(70530,70538) = 2¹ × 3¹ × 5¹ × 2351¹ × 13¹ × 2713¹
LCM(70530,70538) = 2487522570