What is the Least Common Multiple of 68475 and 68480?

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 68475 and 68480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68475 and 68480, than apply into the LCM equation.

GCF(68475,68480) = 5
LCM(68475,68480) = ( 68475 × 68480) / 5
LCM(68475,68480) = 4689168000 / 5
LCM(68475,68480) = 937833600

Least Common Multiple (LCM) of 68475 and 68480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68475 and 68480. First we will calculate the prime factors of 68475 and 68480.

Prime Factorization of 68475

Prime Factorization of 68480

Now multiplying the highest exponent prime factors to calculate the LCM of 68475 and 68480.

LCM(68475,68480) = 3¹ × 5² × 11¹ × 83¹ × 2⁷ × 107¹
LCM(68475,68480) = 937833600