What is the Least Common Multiple of 54698 and 54712?

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 54698 and 54712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54698 and 54712, than apply into the LCM equation.

GCF(54698,54712) = 14
LCM(54698,54712) = ( 54698 × 54712) / 14
LCM(54698,54712) = 2992636976 / 14
LCM(54698,54712) = 213759784

Least Common Multiple (LCM) of 54698 and 54712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54698 and 54712. First we will calculate the prime factors of 54698 and 54712.

Prime Factorization of 54698

Prime Factorization of 54712

Now multiplying the highest exponent prime factors to calculate the LCM of 54698 and 54712.

LCM(54698,54712) = 2³ × 7¹ × 3907¹ × 977¹
LCM(54698,54712) = 213759784