What is the Least Common Multiple of 79045 and 79062?

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 79045 and 79062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79045 and 79062, than apply into the LCM equation.

GCF(79045,79062) = 1
LCM(79045,79062) = ( 79045 × 79062) / 1
LCM(79045,79062) = 6249455790 / 1
LCM(79045,79062) = 6249455790

Least Common Multiple (LCM) of 79045 and 79062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79045 and 79062. First we will calculate the prime factors of 79045 and 79062.

Prime Factorization of 79045

Prime Factorization of 79062

Now multiplying the highest exponent prime factors to calculate the LCM of 79045 and 79062.

LCM(79045,79062) = 5¹ × 15809¹ × 2¹ × 3¹ × 13177¹
LCM(79045,79062) = 6249455790