What is the Least Common Multiple of 60498 and 60507?

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 60498 and 60507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60498 and 60507, than apply into the LCM equation.

GCF(60498,60507) = 9
LCM(60498,60507) = ( 60498 × 60507) / 9
LCM(60498,60507) = 3660552486 / 9
LCM(60498,60507) = 406728054

Least Common Multiple (LCM) of 60498 and 60507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60498 and 60507. First we will calculate the prime factors of 60498 and 60507.

Prime Factorization of 60498

Prime Factorization of 60507

Now multiplying the highest exponent prime factors to calculate the LCM of 60498 and 60507.

LCM(60498,60507) = 2¹ × 3⁶ × 3361¹ × 83¹
LCM(60498,60507) = 406728054