What is the Least Common Multiple of 60460 and 60479?

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 60460 and 60479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60460 and 60479, than apply into the LCM equation.

GCF(60460,60479) = 1
LCM(60460,60479) = ( 60460 × 60479) / 1
LCM(60460,60479) = 3656560340 / 1
LCM(60460,60479) = 3656560340

Least Common Multiple (LCM) of 60460 and 60479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60460 and 60479. First we will calculate the prime factors of 60460 and 60479.

Prime Factorization of 60460

Prime Factorization of 60479

Now multiplying the highest exponent prime factors to calculate the LCM of 60460 and 60479.

LCM(60460,60479) = 2² × 5¹ × 3023¹ × 197¹ × 307¹
LCM(60460,60479) = 3656560340