What is the Least Common Multiple of 35370 and 35390?

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 35370 and 35390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35370 and 35390, than apply into the LCM equation.

GCF(35370,35390) = 10
LCM(35370,35390) = ( 35370 × 35390) / 10
LCM(35370,35390) = 1251744300 / 10
LCM(35370,35390) = 125174430

Least Common Multiple (LCM) of 35370 and 35390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35370 and 35390. First we will calculate the prime factors of 35370 and 35390.

Prime Factorization of 35370

Prime Factorization of 35390

Now multiplying the highest exponent prime factors to calculate the LCM of 35370 and 35390.

LCM(35370,35390) = 2¹ × 3³ × 5¹ × 131¹ × 3539¹
LCM(35370,35390) = 125174430