What is the Least Common Multiple of 49970 and 49980?

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 49970 and 49980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49970 and 49980, than apply into the LCM equation.

GCF(49970,49980) = 10
LCM(49970,49980) = ( 49970 × 49980) / 10
LCM(49970,49980) = 2497500600 / 10
LCM(49970,49980) = 249750060

Least Common Multiple (LCM) of 49970 and 49980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49970 and 49980. First we will calculate the prime factors of 49970 and 49980.

Prime Factorization of 49970

Prime Factorization of 49980

Now multiplying the highest exponent prime factors to calculate the LCM of 49970 and 49980.

LCM(49970,49980) = 2² × 5¹ × 19¹ × 263¹ × 3¹ × 7² × 17¹
LCM(49970,49980) = 249750060