What is the Least Common Multiple of 50710 and 50730?

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 50710 and 50730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50710 and 50730, than apply into the LCM equation.

GCF(50710,50730) = 10
LCM(50710,50730) = ( 50710 × 50730) / 10
LCM(50710,50730) = 2572518300 / 10
LCM(50710,50730) = 257251830

Least Common Multiple (LCM) of 50710 and 50730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50710 and 50730. First we will calculate the prime factors of 50710 and 50730.

Prime Factorization of 50710

Prime Factorization of 50730

Now multiplying the highest exponent prime factors to calculate the LCM of 50710 and 50730.

LCM(50710,50730) = 2¹ × 5¹ × 11¹ × 461¹ × 3¹ × 19¹ × 89¹
LCM(50710,50730) = 257251830