What is the Least Common Multiple of 79204 and 79220?

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 79204 and 79220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79204 and 79220, than apply into the LCM equation.

GCF(79204,79220) = 4
LCM(79204,79220) = ( 79204 × 79220) / 4
LCM(79204,79220) = 6274540880 / 4
LCM(79204,79220) = 1568635220

Least Common Multiple (LCM) of 79204 and 79220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79204 and 79220. First we will calculate the prime factors of 79204 and 79220.

Prime Factorization of 79204

Prime Factorization of 79220

Now multiplying the highest exponent prime factors to calculate the LCM of 79204 and 79220.

LCM(79204,79220) = 2² × 19801¹ × 5¹ × 17¹ × 233¹
LCM(79204,79220) = 1568635220