What is the Least Common Multiple of 34755 and 34765?

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 34755 and 34765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34755 and 34765, than apply into the LCM equation.

GCF(34755,34765) = 5
LCM(34755,34765) = ( 34755 × 34765) / 5
LCM(34755,34765) = 1208257575 / 5
LCM(34755,34765) = 241651515

Least Common Multiple (LCM) of 34755 and 34765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34755 and 34765. First we will calculate the prime factors of 34755 and 34765.

Prime Factorization of 34755

Prime Factorization of 34765

Now multiplying the highest exponent prime factors to calculate the LCM of 34755 and 34765.

LCM(34755,34765) = 3¹ × 5¹ × 7¹ × 331¹ × 17¹ × 409¹
LCM(34755,34765) = 241651515