What is the Least Common Multiple of 35088 and 35102?

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 35088 and 35102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35088 and 35102, than apply into the LCM equation.

GCF(35088,35102) = 2
LCM(35088,35102) = ( 35088 × 35102) / 2
LCM(35088,35102) = 1231658976 / 2
LCM(35088,35102) = 615829488

Least Common Multiple (LCM) of 35088 and 35102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35088 and 35102. First we will calculate the prime factors of 35088 and 35102.

Prime Factorization of 35088

Prime Factorization of 35102

Now multiplying the highest exponent prime factors to calculate the LCM of 35088 and 35102.

LCM(35088,35102) = 2⁴ × 3¹ × 17¹ × 43¹ × 17551¹
LCM(35088,35102) = 615829488