What is the Least Common Multiple of 48690 and 48705?

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 48690 and 48705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48690 and 48705, than apply into the LCM equation.

GCF(48690,48705) = 15
LCM(48690,48705) = ( 48690 × 48705) / 15
LCM(48690,48705) = 2371446450 / 15
LCM(48690,48705) = 158096430

Least Common Multiple (LCM) of 48690 and 48705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48690 and 48705. First we will calculate the prime factors of 48690 and 48705.

Prime Factorization of 48690

Prime Factorization of 48705

Now multiplying the highest exponent prime factors to calculate the LCM of 48690 and 48705.

LCM(48690,48705) = 2¹ × 3² × 5¹ × 541¹ × 17¹ × 191¹
LCM(48690,48705) = 158096430