What is the Least Common Multiple of 54470 and 54483?

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 54470 and 54483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54470 and 54483, than apply into the LCM equation.

GCF(54470,54483) = 13
LCM(54470,54483) = ( 54470 × 54483) / 13
LCM(54470,54483) = 2967689010 / 13
LCM(54470,54483) = 228283770

Least Common Multiple (LCM) of 54470 and 54483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54470 and 54483. First we will calculate the prime factors of 54470 and 54483.

Prime Factorization of 54470

Prime Factorization of 54483

Now multiplying the highest exponent prime factors to calculate the LCM of 54470 and 54483.

LCM(54470,54483) = 2¹ × 5¹ × 13¹ × 419¹ × 3¹ × 11¹ × 127¹
LCM(54470,54483) = 228283770