What is the Least Common Multiple of 54754 and 54766?

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 54754 and 54766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54754 and 54766, than apply into the LCM equation.

GCF(54754,54766) = 2
LCM(54754,54766) = ( 54754 × 54766) / 2
LCM(54754,54766) = 2998657564 / 2
LCM(54754,54766) = 1499328782

Least Common Multiple (LCM) of 54754 and 54766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54754 and 54766. First we will calculate the prime factors of 54754 and 54766.

Prime Factorization of 54754

Prime Factorization of 54766

Now multiplying the highest exponent prime factors to calculate the LCM of 54754 and 54766.

LCM(54754,54766) = 2¹ × 7¹ × 3911¹ × 139¹ × 197¹
LCM(54754,54766) = 1499328782