What is the Least Common Multiple of 35112 and 35120?

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 35112 and 35120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35112 and 35120, than apply into the LCM equation.

GCF(35112,35120) = 8
LCM(35112,35120) = ( 35112 × 35120) / 8
LCM(35112,35120) = 1233133440 / 8
LCM(35112,35120) = 154141680

Least Common Multiple (LCM) of 35112 and 35120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35112 and 35120. First we will calculate the prime factors of 35112 and 35120.

Prime Factorization of 35112

Prime Factorization of 35120

Now multiplying the highest exponent prime factors to calculate the LCM of 35112 and 35120.

LCM(35112,35120) = 2⁴ × 3¹ × 7¹ × 11¹ × 19¹ × 5¹ × 439¹
LCM(35112,35120) = 154141680