What is the Least Common Multiple of 67710 and 67725?

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 67710 and 67725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67710 and 67725, than apply into the LCM equation.

GCF(67710,67725) = 15
LCM(67710,67725) = ( 67710 × 67725) / 15
LCM(67710,67725) = 4585659750 / 15
LCM(67710,67725) = 305710650

Least Common Multiple (LCM) of 67710 and 67725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67710 and 67725. First we will calculate the prime factors of 67710 and 67725.

Prime Factorization of 67710

Prime Factorization of 67725

Now multiplying the highest exponent prime factors to calculate the LCM of 67710 and 67725.

LCM(67710,67725) = 2¹ × 3² × 5² × 37¹ × 61¹ × 7¹ × 43¹
LCM(67710,67725) = 305710650