What is the Least Common Multiple of 88134 and 88153?

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 88134 and 88153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88134 and 88153, than apply into the LCM equation.

GCF(88134,88153) = 1
LCM(88134,88153) = ( 88134 × 88153) / 1
LCM(88134,88153) = 7769276502 / 1
LCM(88134,88153) = 7769276502

Least Common Multiple (LCM) of 88134 and 88153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88134 and 88153. First we will calculate the prime factors of 88134 and 88153.

Prime Factorization of 88134

Prime Factorization of 88153

Now multiplying the highest exponent prime factors to calculate the LCM of 88134 and 88153.

LCM(88134,88153) = 2¹ × 3¹ × 37¹ × 397¹ × 13¹ × 6781¹
LCM(88134,88153) = 7769276502