What is the Least Common Multiple of 43950 and 43970?

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 43950 and 43970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43950 and 43970, than apply into the LCM equation.

GCF(43950,43970) = 10
LCM(43950,43970) = ( 43950 × 43970) / 10
LCM(43950,43970) = 1932481500 / 10
LCM(43950,43970) = 193248150

Least Common Multiple (LCM) of 43950 and 43970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43950 and 43970. First we will calculate the prime factors of 43950 and 43970.

Prime Factorization of 43950

Prime Factorization of 43970

Now multiplying the highest exponent prime factors to calculate the LCM of 43950 and 43970.

LCM(43950,43970) = 2¹ × 3¹ × 5² × 293¹ × 4397¹
LCM(43950,43970) = 193248150