What is the Least Common Multiple of 61363 and 61383?

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 61363 and 61383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61363 and 61383, than apply into the LCM equation.

GCF(61363,61383) = 1
LCM(61363,61383) = ( 61363 × 61383) / 1
LCM(61363,61383) = 3766645029 / 1
LCM(61363,61383) = 3766645029

Least Common Multiple (LCM) of 61363 and 61383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61363 and 61383. First we will calculate the prime factors of 61363 and 61383.

Prime Factorization of 61363

Prime Factorization of 61383

Now multiplying the highest exponent prime factors to calculate the LCM of 61363 and 61383.

LCM(61363,61383) = 61363¹ × 3¹ × 7¹ × 37¹ × 79¹
LCM(61363,61383) = 3766645029