What is the Least Common Multiple of 67725 and 67743?

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 67725 and 67743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67725 and 67743, than apply into the LCM equation.

GCF(67725,67743) = 9
LCM(67725,67743) = ( 67725 × 67743) / 9
LCM(67725,67743) = 4587894675 / 9
LCM(67725,67743) = 509766075

Least Common Multiple (LCM) of 67725 and 67743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67725 and 67743. First we will calculate the prime factors of 67725 and 67743.

Prime Factorization of 67725

Prime Factorization of 67743

Now multiplying the highest exponent prime factors to calculate the LCM of 67725 and 67743.

LCM(67725,67743) = 3³ × 5² × 7¹ × 43¹ × 13¹ × 193¹
LCM(67725,67743) = 509766075