What is the Least Common Multiple of 63085 and 63092?

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 63085 and 63092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63085 and 63092, than apply into the LCM equation.

GCF(63085,63092) = 1
LCM(63085,63092) = ( 63085 × 63092) / 1
LCM(63085,63092) = 3980158820 / 1
LCM(63085,63092) = 3980158820

Least Common Multiple (LCM) of 63085 and 63092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63085 and 63092. First we will calculate the prime factors of 63085 and 63092.

Prime Factorization of 63085

Prime Factorization of 63092

Now multiplying the highest exponent prime factors to calculate the LCM of 63085 and 63092.

LCM(63085,63092) = 5¹ × 11¹ × 31¹ × 37¹ × 2² × 15773¹
LCM(63085,63092) = 3980158820