What is the Least Common Multiple of 77220 and 77239?

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 77220 and 77239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77220 and 77239, than apply into the LCM equation.

GCF(77220,77239) = 1
LCM(77220,77239) = ( 77220 × 77239) / 1
LCM(77220,77239) = 5964395580 / 1
LCM(77220,77239) = 5964395580

Least Common Multiple (LCM) of 77220 and 77239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77220 and 77239. First we will calculate the prime factors of 77220 and 77239.

Prime Factorization of 77220

Prime Factorization of 77239

Now multiplying the highest exponent prime factors to calculate the LCM of 77220 and 77239.

LCM(77220,77239) = 2² × 3³ × 5¹ × 11¹ × 13¹ × 77239¹
LCM(77220,77239) = 5964395580