What is the Least Common Multiple of 54980 and 54992?

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 54980 and 54992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54980 and 54992, than apply into the LCM equation.

GCF(54980,54992) = 4
LCM(54980,54992) = ( 54980 × 54992) / 4
LCM(54980,54992) = 3023460160 / 4
LCM(54980,54992) = 755865040

Least Common Multiple (LCM) of 54980 and 54992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54980 and 54992. First we will calculate the prime factors of 54980 and 54992.

Prime Factorization of 54980

Prime Factorization of 54992

Now multiplying the highest exponent prime factors to calculate the LCM of 54980 and 54992.

LCM(54980,54992) = 2⁴ × 5¹ × 2749¹ × 7¹ × 491¹
LCM(54980,54992) = 755865040