What is the Least Common Multiple of 61998 and 62016?

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 61998 and 62016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61998 and 62016, than apply into the LCM equation.

GCF(61998,62016) = 6
LCM(61998,62016) = ( 61998 × 62016) / 6
LCM(61998,62016) = 3844867968 / 6
LCM(61998,62016) = 640811328

Least Common Multiple (LCM) of 61998 and 62016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61998 and 62016. First we will calculate the prime factors of 61998 and 62016.

Prime Factorization of 61998

Prime Factorization of 62016

Now multiplying the highest exponent prime factors to calculate the LCM of 61998 and 62016.

LCM(61998,62016) = 2⁶ × 3¹ × 10333¹ × 17¹ × 19¹
LCM(61998,62016) = 640811328