What is the Least Common Multiple of 59580 and 59597?

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 59580 and 59597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59580 and 59597, than apply into the LCM equation.

GCF(59580,59597) = 1
LCM(59580,59597) = ( 59580 × 59597) / 1
LCM(59580,59597) = 3550789260 / 1
LCM(59580,59597) = 3550789260

Least Common Multiple (LCM) of 59580 and 59597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59580 and 59597. First we will calculate the prime factors of 59580 and 59597.

Prime Factorization of 59580

Prime Factorization of 59597

Now multiplying the highest exponent prime factors to calculate the LCM of 59580 and 59597.

LCM(59580,59597) = 2² × 3² × 5¹ × 331¹ × 61¹ × 977¹
LCM(59580,59597) = 3550789260