What is the Least Common Multiple of 79280 and 79300?

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 79280 and 79300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79280 and 79300, than apply into the LCM equation.

GCF(79280,79300) = 20
LCM(79280,79300) = ( 79280 × 79300) / 20
LCM(79280,79300) = 6286904000 / 20
LCM(79280,79300) = 314345200

Least Common Multiple (LCM) of 79280 and 79300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79280 and 79300. First we will calculate the prime factors of 79280 and 79300.

Prime Factorization of 79280

Prime Factorization of 79300

Now multiplying the highest exponent prime factors to calculate the LCM of 79280 and 79300.

LCM(79280,79300) = 2⁴ × 5² × 991¹ × 13¹ × 61¹
LCM(79280,79300) = 314345200