What is the Least Common Multiple of 59419 and 59436?

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 59419 and 59436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59419 and 59436, than apply into the LCM equation.

GCF(59419,59436) = 1
LCM(59419,59436) = ( 59419 × 59436) / 1
LCM(59419,59436) = 3531627684 / 1
LCM(59419,59436) = 3531627684

Least Common Multiple (LCM) of 59419 and 59436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59419 and 59436. First we will calculate the prime factors of 59419 and 59436.

Prime Factorization of 59419

Prime Factorization of 59436

Now multiplying the highest exponent prime factors to calculate the LCM of 59419 and 59436.

LCM(59419,59436) = 59419¹ × 2² × 3² × 13¹ × 127¹
LCM(59419,59436) = 3531627684