What is the Least Common Multiple of 60354 and 60367?

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 60354 and 60367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60354 and 60367, than apply into the LCM equation.

GCF(60354,60367) = 1
LCM(60354,60367) = ( 60354 × 60367) / 1
LCM(60354,60367) = 3643389918 / 1
LCM(60354,60367) = 3643389918

Least Common Multiple (LCM) of 60354 and 60367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60354 and 60367. First we will calculate the prime factors of 60354 and 60367.

Prime Factorization of 60354

Prime Factorization of 60367

Now multiplying the highest exponent prime factors to calculate the LCM of 60354 and 60367.

LCM(60354,60367) = 2¹ × 3² × 7¹ × 479¹ × 17¹ × 53¹ × 67¹
LCM(60354,60367) = 3643389918