What is the Least Common Multiple of 61989 and 62009?

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 61989 and 62009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61989 and 62009, than apply into the LCM equation.

GCF(61989,62009) = 1
LCM(61989,62009) = ( 61989 × 62009) / 1
LCM(61989,62009) = 3843875901 / 1
LCM(61989,62009) = 3843875901

Least Common Multiple (LCM) of 61989 and 62009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61989 and 62009. First we will calculate the prime factors of 61989 and 62009.

Prime Factorization of 61989

Prime Factorization of 62009

Now multiplying the highest exponent prime factors to calculate the LCM of 61989 and 62009.

LCM(61989,62009) = 3¹ × 20663¹ × 59¹ × 1051¹
LCM(61989,62009) = 3843875901