What is the Least Common Multiple of 79520 and 79534?

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 79520 and 79534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79520 and 79534, than apply into the LCM equation.

GCF(79520,79534) = 14
LCM(79520,79534) = ( 79520 × 79534) / 14
LCM(79520,79534) = 6324543680 / 14
LCM(79520,79534) = 451753120

Least Common Multiple (LCM) of 79520 and 79534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79520 and 79534. First we will calculate the prime factors of 79520 and 79534.

Prime Factorization of 79520

Prime Factorization of 79534

Now multiplying the highest exponent prime factors to calculate the LCM of 79520 and 79534.

LCM(79520,79534) = 2⁵ × 5¹ × 7¹ × 71¹ × 13¹ × 19¹ × 23¹
LCM(79520,79534) = 451753120