What is the Least Common Multiple of 23758 and 23778?

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 23758 and 23778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23758 and 23778, than apply into the LCM equation.

GCF(23758,23778) = 2
LCM(23758,23778) = ( 23758 × 23778) / 2
LCM(23758,23778) = 564917724 / 2
LCM(23758,23778) = 282458862

Least Common Multiple (LCM) of 23758 and 23778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23758 and 23778. First we will calculate the prime factors of 23758 and 23778.

Prime Factorization of 23758

Prime Factorization of 23778

Now multiplying the highest exponent prime factors to calculate the LCM of 23758 and 23778.

LCM(23758,23778) = 2¹ × 7¹ × 1697¹ × 3² × 1321¹
LCM(23758,23778) = 282458862