What is the Least Common Multiple of 49950 and 49970?

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 49950 and 49970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49950 and 49970, than apply into the LCM equation.

GCF(49950,49970) = 10
LCM(49950,49970) = ( 49950 × 49970) / 10
LCM(49950,49970) = 2496001500 / 10
LCM(49950,49970) = 249600150

Least Common Multiple (LCM) of 49950 and 49970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49950 and 49970. First we will calculate the prime factors of 49950 and 49970.

Prime Factorization of 49950

Prime Factorization of 49970

Now multiplying the highest exponent prime factors to calculate the LCM of 49950 and 49970.

LCM(49950,49970) = 2¹ × 3³ × 5² × 37¹ × 19¹ × 263¹
LCM(49950,49970) = 249600150