What is the Least Common Multiple of 77580 and 77597?

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 77580 and 77597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77580 and 77597, than apply into the LCM equation.

GCF(77580,77597) = 1
LCM(77580,77597) = ( 77580 × 77597) / 1
LCM(77580,77597) = 6019975260 / 1
LCM(77580,77597) = 6019975260

Least Common Multiple (LCM) of 77580 and 77597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77580 and 77597. First we will calculate the prime factors of 77580 and 77597.

Prime Factorization of 77580

Prime Factorization of 77597

Now multiplying the highest exponent prime factors to calculate the LCM of 77580 and 77597.

LCM(77580,77597) = 2² × 3² × 5¹ × 431¹ × 13¹ × 47¹ × 127¹
LCM(77580,77597) = 6019975260