What is the Least Common Multiple of 63442 and 63462?

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 63442 and 63462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63442 and 63462, than apply into the LCM equation.

GCF(63442,63462) = 2
LCM(63442,63462) = ( 63442 × 63462) / 2
LCM(63442,63462) = 4026156204 / 2
LCM(63442,63462) = 2013078102

Least Common Multiple (LCM) of 63442 and 63462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63442 and 63462. First we will calculate the prime factors of 63442 and 63462.

Prime Factorization of 63442

Prime Factorization of 63462

Now multiplying the highest exponent prime factors to calculate the LCM of 63442 and 63462.

LCM(63442,63462) = 2¹ × 31721¹ × 3¹ × 7¹ × 1511¹
LCM(63442,63462) = 2013078102