What is the Least Common Multiple of 67700 and 67708?

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 67700 and 67708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67700 and 67708, than apply into the LCM equation.

GCF(67700,67708) = 4
LCM(67700,67708) = ( 67700 × 67708) / 4
LCM(67700,67708) = 4583831600 / 4
LCM(67700,67708) = 1145957900

Least Common Multiple (LCM) of 67700 and 67708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67700 and 67708. First we will calculate the prime factors of 67700 and 67708.

Prime Factorization of 67700

Prime Factorization of 67708

Now multiplying the highest exponent prime factors to calculate the LCM of 67700 and 67708.

LCM(67700,67708) = 2² × 5² × 677¹ × 16927¹
LCM(67700,67708) = 1145957900