What is the Least Common Multiple of 88145 and 88156?

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 88145 and 88156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88145 and 88156, than apply into the LCM equation.

GCF(88145,88156) = 1
LCM(88145,88156) = ( 88145 × 88156) / 1
LCM(88145,88156) = 7770510620 / 1
LCM(88145,88156) = 7770510620

Least Common Multiple (LCM) of 88145 and 88156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88145 and 88156. First we will calculate the prime factors of 88145 and 88156.

Prime Factorization of 88145

Prime Factorization of 88156

Now multiplying the highest exponent prime factors to calculate the LCM of 88145 and 88156.

LCM(88145,88156) = 5¹ × 17² × 61¹ × 2² × 22039¹
LCM(88145,88156) = 7770510620