What is the Least Common Multiple of 79220 and 79228?

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 79220 and 79228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79220 and 79228, than apply into the LCM equation.

GCF(79220,79228) = 4
LCM(79220,79228) = ( 79220 × 79228) / 4
LCM(79220,79228) = 6276442160 / 4
LCM(79220,79228) = 1569110540

Least Common Multiple (LCM) of 79220 and 79228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79220 and 79228. First we will calculate the prime factors of 79220 and 79228.

Prime Factorization of 79220

Prime Factorization of 79228

Now multiplying the highest exponent prime factors to calculate the LCM of 79220 and 79228.

LCM(79220,79228) = 2² × 5¹ × 17¹ × 233¹ × 29¹ × 683¹
LCM(79220,79228) = 1569110540