What is the Least Common Multiple of 50070 and 50082?

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 50070 and 50082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50070 and 50082, than apply into the LCM equation.

GCF(50070,50082) = 6
LCM(50070,50082) = ( 50070 × 50082) / 6
LCM(50070,50082) = 2507605740 / 6
LCM(50070,50082) = 417934290

Least Common Multiple (LCM) of 50070 and 50082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50070 and 50082. First we will calculate the prime factors of 50070 and 50082.

Prime Factorization of 50070

Prime Factorization of 50082

Now multiplying the highest exponent prime factors to calculate the LCM of 50070 and 50082.

LCM(50070,50082) = 2¹ × 3¹ × 5¹ × 1669¹ × 17¹ × 491¹
LCM(50070,50082) = 417934290