What is the Least Common Multiple of 38634 and 38642?

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 38634 and 38642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38634 and 38642, than apply into the LCM equation.

GCF(38634,38642) = 2
LCM(38634,38642) = ( 38634 × 38642) / 2
LCM(38634,38642) = 1492895028 / 2
LCM(38634,38642) = 746447514

Least Common Multiple (LCM) of 38634 and 38642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38634 and 38642. First we will calculate the prime factors of 38634 and 38642.

Prime Factorization of 38634

Prime Factorization of 38642

Now multiplying the highest exponent prime factors to calculate the LCM of 38634 and 38642.

LCM(38634,38642) = 2¹ × 3¹ × 47¹ × 137¹ × 139²
LCM(38634,38642) = 746447514