What is the Least Common Multiple of 68480 and 68495?

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 68480 and 68495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68480 and 68495, than apply into the LCM equation.

GCF(68480,68495) = 5
LCM(68480,68495) = ( 68480 × 68495) / 5
LCM(68480,68495) = 4690537600 / 5
LCM(68480,68495) = 938107520

Least Common Multiple (LCM) of 68480 and 68495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68480 and 68495. First we will calculate the prime factors of 68480 and 68495.

Prime Factorization of 68480

Prime Factorization of 68495

Now multiplying the highest exponent prime factors to calculate the LCM of 68480 and 68495.

LCM(68480,68495) = 2⁷ × 5¹ × 107¹ × 7¹ × 19¹ × 103¹
LCM(68480,68495) = 938107520