What is the Least Common Multiple of 24745 and 24765?

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 24745 and 24765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24745 and 24765, than apply into the LCM equation.

GCF(24745,24765) = 5
LCM(24745,24765) = ( 24745 × 24765) / 5
LCM(24745,24765) = 612809925 / 5
LCM(24745,24765) = 122561985

Least Common Multiple (LCM) of 24745 and 24765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24745 and 24765. First we will calculate the prime factors of 24745 and 24765.

Prime Factorization of 24745

Prime Factorization of 24765

Now multiplying the highest exponent prime factors to calculate the LCM of 24745 and 24765.

LCM(24745,24765) = 5¹ × 7² × 101¹ × 3¹ × 13¹ × 127¹
LCM(24745,24765) = 122561985