What is the Least Common Multiple of 48054 and 48070?

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 48054 and 48070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48054 and 48070, than apply into the LCM equation.

GCF(48054,48070) = 2
LCM(48054,48070) = ( 48054 × 48070) / 2
LCM(48054,48070) = 2309955780 / 2
LCM(48054,48070) = 1154977890

Least Common Multiple (LCM) of 48054 and 48070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48054 and 48070. First we will calculate the prime factors of 48054 and 48070.

Prime Factorization of 48054

Prime Factorization of 48070

Now multiplying the highest exponent prime factors to calculate the LCM of 48054 and 48070.

LCM(48054,48070) = 2¹ × 3¹ × 8009¹ × 5¹ × 11¹ × 19¹ × 23¹
LCM(48054,48070) = 1154977890