What is the Least Common Multiple of 63109 and 63121?

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 63109 and 63121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63109 and 63121, than apply into the LCM equation.

GCF(63109,63121) = 1
LCM(63109,63121) = ( 63109 × 63121) / 1
LCM(63109,63121) = 3983503189 / 1
LCM(63109,63121) = 3983503189

Least Common Multiple (LCM) of 63109 and 63121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63109 and 63121. First we will calculate the prime factors of 63109 and 63121.

Prime Factorization of 63109

Prime Factorization of 63121

Now multiplying the highest exponent prime factors to calculate the LCM of 63109 and 63121.

LCM(63109,63121) = 223¹ × 283¹ × 17¹ × 47¹ × 79¹
LCM(63109,63121) = 3983503189