What is the Least Common Multiple of 48132 and 48144?

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 48132 and 48144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48132 and 48144, than apply into the LCM equation.

GCF(48132,48144) = 12
LCM(48132,48144) = ( 48132 × 48144) / 12
LCM(48132,48144) = 2317267008 / 12
LCM(48132,48144) = 193105584

Least Common Multiple (LCM) of 48132 and 48144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48132 and 48144. First we will calculate the prime factors of 48132 and 48144.

Prime Factorization of 48132

Prime Factorization of 48144

Now multiplying the highest exponent prime factors to calculate the LCM of 48132 and 48144.

LCM(48132,48144) = 2⁴ × 3² × 7¹ × 191¹ × 17¹ × 59¹
LCM(48132,48144) = 193105584