What is the Least Common Multiple of 88755 and 88769?

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 88755 and 88769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88755 and 88769, than apply into the LCM equation.

GCF(88755,88769) = 1
LCM(88755,88769) = ( 88755 × 88769) / 1
LCM(88755,88769) = 7878692595 / 1
LCM(88755,88769) = 7878692595

Least Common Multiple (LCM) of 88755 and 88769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88755 and 88769. First we will calculate the prime factors of 88755 and 88769.

Prime Factorization of 88755

Prime Factorization of 88769

Now multiplying the highest exponent prime factors to calculate the LCM of 88755 and 88769.

LCM(88755,88769) = 3¹ × 5¹ × 61¹ × 97¹ × 29¹ × 3061¹
LCM(88755,88769) = 7878692595