What is the Least Common Multiple of 42642 and 42652?

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 42642 and 42652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42642 and 42652, than apply into the LCM equation.

GCF(42642,42652) = 2
LCM(42642,42652) = ( 42642 × 42652) / 2
LCM(42642,42652) = 1818766584 / 2
LCM(42642,42652) = 909383292

Least Common Multiple (LCM) of 42642 and 42652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42642 and 42652. First we will calculate the prime factors of 42642 and 42652.

Prime Factorization of 42642

Prime Factorization of 42652

Now multiplying the highest exponent prime factors to calculate the LCM of 42642 and 42652.

LCM(42642,42652) = 2² × 3² × 23¹ × 103¹ × 10663¹
LCM(42642,42652) = 909383292