What is the Least Common Multiple of 7749 and 7765?

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 7749 and 7765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7749 and 7765, than apply into the LCM equation.

GCF(7749,7765) = 1
LCM(7749,7765) = ( 7749 × 7765) / 1
LCM(7749,7765) = 60170985 / 1
LCM(7749,7765) = 60170985

Least Common Multiple (LCM) of 7749 and 7765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7749 and 7765. First we will calculate the prime factors of 7749 and 7765.

Prime Factorization of 7749

Prime Factorization of 7765

Now multiplying the highest exponent prime factors to calculate the LCM of 7749 and 7765.

LCM(7749,7765) = 3³ × 7¹ × 41¹ × 5¹ × 1553¹
LCM(7749,7765) = 60170985