What is the Least Common Multiple of 49990 and 50002?

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 49990 and 50002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49990 and 50002, than apply into the LCM equation.

GCF(49990,50002) = 2
LCM(49990,50002) = ( 49990 × 50002) / 2
LCM(49990,50002) = 2499599980 / 2
LCM(49990,50002) = 1249799990

Least Common Multiple (LCM) of 49990 and 50002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49990 and 50002. First we will calculate the prime factors of 49990 and 50002.

Prime Factorization of 49990

Prime Factorization of 50002

Now multiplying the highest exponent prime factors to calculate the LCM of 49990 and 50002.

LCM(49990,50002) = 2¹ × 5¹ × 4999¹ × 23¹ × 1087¹
LCM(49990,50002) = 1249799990