What is the Least Common Multiple of 68870 and 68876?

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 68870 and 68876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68870 and 68876, than apply into the LCM equation.

GCF(68870,68876) = 2
LCM(68870,68876) = ( 68870 × 68876) / 2
LCM(68870,68876) = 4743490120 / 2
LCM(68870,68876) = 2371745060

Least Common Multiple (LCM) of 68870 and 68876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68870 and 68876. First we will calculate the prime factors of 68870 and 68876.

Prime Factorization of 68870

Prime Factorization of 68876

Now multiplying the highest exponent prime factors to calculate the LCM of 68870 and 68876.

LCM(68870,68876) = 2² × 5¹ × 71¹ × 97¹ × 67¹ × 257¹
LCM(68870,68876) = 2371745060