What is the Least Common Multiple of 79530 and 79540?

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 79530 and 79540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79530 and 79540, than apply into the LCM equation.

GCF(79530,79540) = 10
LCM(79530,79540) = ( 79530 × 79540) / 10
LCM(79530,79540) = 6325816200 / 10
LCM(79530,79540) = 632581620

Least Common Multiple (LCM) of 79530 and 79540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79530 and 79540. First we will calculate the prime factors of 79530 and 79540.

Prime Factorization of 79530

Prime Factorization of 79540

Now multiplying the highest exponent prime factors to calculate the LCM of 79530 and 79540.

LCM(79530,79540) = 2² × 3¹ × 5¹ × 11¹ × 241¹ × 41¹ × 97¹
LCM(79530,79540) = 632581620