What is the Least Common Multiple of 54705 and 54714?

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 54705 and 54714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54705 and 54714, than apply into the LCM equation.

GCF(54705,54714) = 3
LCM(54705,54714) = ( 54705 × 54714) / 3
LCM(54705,54714) = 2993129370 / 3
LCM(54705,54714) = 997709790

Least Common Multiple (LCM) of 54705 and 54714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54705 and 54714. First we will calculate the prime factors of 54705 and 54714.

Prime Factorization of 54705

Prime Factorization of 54714

Now multiplying the highest exponent prime factors to calculate the LCM of 54705 and 54714.

LCM(54705,54714) = 3¹ × 5¹ × 7¹ × 521¹ × 2¹ × 11¹ × 829¹
LCM(54705,54714) = 997709790