What is the Least Common Multiple of 48090 and 48098?

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 48090 and 48098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48090 and 48098, than apply into the LCM equation.

GCF(48090,48098) = 2
LCM(48090,48098) = ( 48090 × 48098) / 2
LCM(48090,48098) = 2313032820 / 2
LCM(48090,48098) = 1156516410

Least Common Multiple (LCM) of 48090 and 48098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48090 and 48098. First we will calculate the prime factors of 48090 and 48098.

Prime Factorization of 48090

Prime Factorization of 48098

Now multiplying the highest exponent prime factors to calculate the LCM of 48090 and 48098.

LCM(48090,48098) = 2¹ × 3¹ × 5¹ × 7¹ × 229¹ × 24049¹
LCM(48090,48098) = 1156516410