What is the Least Common Multiple of 47742 and 47760?

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 47742 and 47760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47742 and 47760, than apply into the LCM equation.

GCF(47742,47760) = 6
LCM(47742,47760) = ( 47742 × 47760) / 6
LCM(47742,47760) = 2280157920 / 6
LCM(47742,47760) = 380026320

Least Common Multiple (LCM) of 47742 and 47760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47742 and 47760. First we will calculate the prime factors of 47742 and 47760.

Prime Factorization of 47742

Prime Factorization of 47760

Now multiplying the highest exponent prime factors to calculate the LCM of 47742 and 47760.

LCM(47742,47760) = 2⁴ × 3¹ × 73¹ × 109¹ × 5¹ × 199¹
LCM(47742,47760) = 380026320