What is the Least Common Multiple of 79665 and 79680?

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 79665 and 79680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79665 and 79680, than apply into the LCM equation.

GCF(79665,79680) = 15
LCM(79665,79680) = ( 79665 × 79680) / 15
LCM(79665,79680) = 6347707200 / 15
LCM(79665,79680) = 423180480

Least Common Multiple (LCM) of 79665 and 79680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79665 and 79680. First we will calculate the prime factors of 79665 and 79680.

Prime Factorization of 79665

Prime Factorization of 79680

Now multiplying the highest exponent prime factors to calculate the LCM of 79665 and 79680.

LCM(79665,79680) = 3¹ × 5¹ × 47¹ × 113¹ × 2⁶ × 83¹
LCM(79665,79680) = 423180480