What is the Least Common Multiple of 45760 and 45765?

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 45760 and 45765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45760 and 45765, than apply into the LCM equation.

GCF(45760,45765) = 5
LCM(45760,45765) = ( 45760 × 45765) / 5
LCM(45760,45765) = 2094206400 / 5
LCM(45760,45765) = 418841280

Least Common Multiple (LCM) of 45760 and 45765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45760 and 45765. First we will calculate the prime factors of 45760 and 45765.

Prime Factorization of 45760

Prime Factorization of 45765

Now multiplying the highest exponent prime factors to calculate the LCM of 45760 and 45765.

LCM(45760,45765) = 2⁶ × 5¹ × 11¹ × 13¹ × 3⁴ × 113¹
LCM(45760,45765) = 418841280