What is the Least Common Multiple of 60453 and 60465?

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 60453 and 60465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60453 and 60465, than apply into the LCM equation.

GCF(60453,60465) = 3
LCM(60453,60465) = ( 60453 × 60465) / 3
LCM(60453,60465) = 3655290645 / 3
LCM(60453,60465) = 1218430215

Least Common Multiple (LCM) of 60453 and 60465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60453 and 60465. First we will calculate the prime factors of 60453 and 60465.

Prime Factorization of 60453

Prime Factorization of 60465

Now multiplying the highest exponent prime factors to calculate the LCM of 60453 and 60465.

LCM(60453,60465) = 3³ × 2239¹ × 5¹ × 29¹ × 139¹
LCM(60453,60465) = 1218430215