What is the Least Common Multiple of 42640 and 42653?

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 42640 and 42653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42640 and 42653, than apply into the LCM equation.

GCF(42640,42653) = 13
LCM(42640,42653) = ( 42640 × 42653) / 13
LCM(42640,42653) = 1818723920 / 13
LCM(42640,42653) = 139901840

Least Common Multiple (LCM) of 42640 and 42653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42640 and 42653. First we will calculate the prime factors of 42640 and 42653.

Prime Factorization of 42640

Prime Factorization of 42653

Now multiplying the highest exponent prime factors to calculate the LCM of 42640 and 42653.

LCM(42640,42653) = 2⁴ × 5¹ × 13¹ × 41¹ × 17¹ × 193¹
LCM(42640,42653) = 139901840