What is the Least Common Multiple of 63462 and 63470?

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 63462 and 63470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63462 and 63470, than apply into the LCM equation.

GCF(63462,63470) = 2
LCM(63462,63470) = ( 63462 × 63470) / 2
LCM(63462,63470) = 4027933140 / 2
LCM(63462,63470) = 2013966570

Least Common Multiple (LCM) of 63462 and 63470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63462 and 63470. First we will calculate the prime factors of 63462 and 63470.

Prime Factorization of 63462

Prime Factorization of 63470

Now multiplying the highest exponent prime factors to calculate the LCM of 63462 and 63470.

LCM(63462,63470) = 2¹ × 3¹ × 7¹ × 1511¹ × 5¹ × 11¹ × 577¹
LCM(63462,63470) = 2013966570