What is the Least Common Multiple of 60304 and 60312?

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 60304 and 60312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60304 and 60312, than apply into the LCM equation.

GCF(60304,60312) = 8
LCM(60304,60312) = ( 60304 × 60312) / 8
LCM(60304,60312) = 3637054848 / 8
LCM(60304,60312) = 454631856

Least Common Multiple (LCM) of 60304 and 60312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60304 and 60312. First we will calculate the prime factors of 60304 and 60312.

Prime Factorization of 60304

Prime Factorization of 60312

Now multiplying the highest exponent prime factors to calculate the LCM of 60304 and 60312.

LCM(60304,60312) = 2⁴ × 3769¹ × 3¹ × 7¹ × 359¹
LCM(60304,60312) = 454631856