What is the Least Common Multiple of 60574 and 60580?

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 60574 and 60580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60574 and 60580, than apply into the LCM equation.

GCF(60574,60580) = 2
LCM(60574,60580) = ( 60574 × 60580) / 2
LCM(60574,60580) = 3669572920 / 2
LCM(60574,60580) = 1834786460

Least Common Multiple (LCM) of 60574 and 60580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60574 and 60580. First we will calculate the prime factors of 60574 and 60580.

Prime Factorization of 60574

Prime Factorization of 60580

Now multiplying the highest exponent prime factors to calculate the LCM of 60574 and 60580.

LCM(60574,60580) = 2² × 31¹ × 977¹ × 5¹ × 13¹ × 233¹
LCM(60574,60580) = 1834786460