What is the Least Common Multiple of 48730 and 48746?

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 48730 and 48746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48730 and 48746, than apply into the LCM equation.

GCF(48730,48746) = 2
LCM(48730,48746) = ( 48730 × 48746) / 2
LCM(48730,48746) = 2375392580 / 2
LCM(48730,48746) = 1187696290

Least Common Multiple (LCM) of 48730 and 48746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48730 and 48746. First we will calculate the prime factors of 48730 and 48746.

Prime Factorization of 48730

Prime Factorization of 48746

Now multiplying the highest exponent prime factors to calculate the LCM of 48730 and 48746.

LCM(48730,48746) = 2¹ × 5¹ × 11¹ × 443¹ × 24373¹
LCM(48730,48746) = 1187696290