What is the Least Common Multiple of 61066 and 61076?

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 61066 and 61076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61066 and 61076, than apply into the LCM equation.

GCF(61066,61076) = 2
LCM(61066,61076) = ( 61066 × 61076) / 2
LCM(61066,61076) = 3729667016 / 2
LCM(61066,61076) = 1864833508

Least Common Multiple (LCM) of 61066 and 61076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61066 and 61076. First we will calculate the prime factors of 61066 and 61076.

Prime Factorization of 61066

Prime Factorization of 61076

Now multiplying the highest exponent prime factors to calculate the LCM of 61066 and 61076.

LCM(61066,61076) = 2² × 19¹ × 1607¹ × 15269¹
LCM(61066,61076) = 1864833508