What is the Least Common Multiple of 68892 and 68906?

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 68892 and 68906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68892 and 68906, than apply into the LCM equation.

GCF(68892,68906) = 2
LCM(68892,68906) = ( 68892 × 68906) / 2
LCM(68892,68906) = 4747072152 / 2
LCM(68892,68906) = 2373536076

Least Common Multiple (LCM) of 68892 and 68906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68892 and 68906. First we will calculate the prime factors of 68892 and 68906.

Prime Factorization of 68892

Prime Factorization of 68906

Now multiplying the highest exponent prime factors to calculate the LCM of 68892 and 68906.

LCM(68892,68906) = 2² × 3¹ × 5741¹ × 131¹ × 263¹
LCM(68892,68906) = 2373536076