What is the Least Common Multiple of 61790 and 61808?

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 61790 and 61808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61790 and 61808, than apply into the LCM equation.

GCF(61790,61808) = 2
LCM(61790,61808) = ( 61790 × 61808) / 2
LCM(61790,61808) = 3819116320 / 2
LCM(61790,61808) = 1909558160

Least Common Multiple (LCM) of 61790 and 61808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61790 and 61808. First we will calculate the prime factors of 61790 and 61808.

Prime Factorization of 61790

Prime Factorization of 61808

Now multiplying the highest exponent prime factors to calculate the LCM of 61790 and 61808.

LCM(61790,61808) = 2⁴ × 5¹ × 37¹ × 167¹ × 3863¹
LCM(61790,61808) = 1909558160