What is the Least Common Multiple of 42700 and 42706?

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 42700 and 42706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42700 and 42706, than apply into the LCM equation.

GCF(42700,42706) = 2
LCM(42700,42706) = ( 42700 × 42706) / 2
LCM(42700,42706) = 1823546200 / 2
LCM(42700,42706) = 911773100

Least Common Multiple (LCM) of 42700 and 42706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42700 and 42706. First we will calculate the prime factors of 42700 and 42706.

Prime Factorization of 42700

Prime Factorization of 42706

Now multiplying the highest exponent prime factors to calculate the LCM of 42700 and 42706.

LCM(42700,42706) = 2² × 5² × 7¹ × 61¹ × 131¹ × 163¹
LCM(42700,42706) = 911773100