What is the Least Common Multiple of 42990 and 43008?

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 42990 and 43008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42990 and 43008, than apply into the LCM equation.

GCF(42990,43008) = 6
LCM(42990,43008) = ( 42990 × 43008) / 6
LCM(42990,43008) = 1848913920 / 6
LCM(42990,43008) = 308152320

Least Common Multiple (LCM) of 42990 and 43008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42990 and 43008. First we will calculate the prime factors of 42990 and 43008.

Prime Factorization of 42990

Prime Factorization of 43008

Now multiplying the highest exponent prime factors to calculate the LCM of 42990 and 43008.

LCM(42990,43008) = 2¹¹ × 3¹ × 5¹ × 1433¹ × 7¹
LCM(42990,43008) = 308152320