What is the Least Common Multiple of 24973 and 24990?

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 24973 and 24990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24973 and 24990, than apply into the LCM equation.

GCF(24973,24990) = 17
LCM(24973,24990) = ( 24973 × 24990) / 17
LCM(24973,24990) = 624075270 / 17
LCM(24973,24990) = 36710310

Least Common Multiple (LCM) of 24973 and 24990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24973 and 24990. First we will calculate the prime factors of 24973 and 24990.

Prime Factorization of 24973

Prime Factorization of 24990

Now multiplying the highest exponent prime factors to calculate the LCM of 24973 and 24990.

LCM(24973,24990) = 13¹ × 17¹ × 113¹ × 2¹ × 3¹ × 5¹ × 7²
LCM(24973,24990) = 36710310