What is the Least Common Multiple of 54054 and 54070?

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 54054 and 54070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54054 and 54070, than apply into the LCM equation.

GCF(54054,54070) = 2
LCM(54054,54070) = ( 54054 × 54070) / 2
LCM(54054,54070) = 2922699780 / 2
LCM(54054,54070) = 1461349890

Least Common Multiple (LCM) of 54054 and 54070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54054 and 54070. First we will calculate the prime factors of 54054 and 54070.

Prime Factorization of 54054

Prime Factorization of 54070

Now multiplying the highest exponent prime factors to calculate the LCM of 54054 and 54070.

LCM(54054,54070) = 2¹ × 3³ × 7¹ × 11¹ × 13¹ × 5¹ × 5407¹
LCM(54054,54070) = 1461349890