What is the Least Common Multiple of 35672 and 35689?

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 35672 and 35689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35672 and 35689, than apply into the LCM equation.

GCF(35672,35689) = 1
LCM(35672,35689) = ( 35672 × 35689) / 1
LCM(35672,35689) = 1273098008 / 1
LCM(35672,35689) = 1273098008

Least Common Multiple (LCM) of 35672 and 35689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35672 and 35689. First we will calculate the prime factors of 35672 and 35689.

Prime Factorization of 35672

Prime Factorization of 35689

Now multiplying the highest exponent prime factors to calculate the LCM of 35672 and 35689.

LCM(35672,35689) = 2³ × 7³ × 13¹ × 89¹ × 401¹
LCM(35672,35689) = 1273098008