What is the Least Common Multiple of 61037 and 61048?
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 (LCM) of 61037 and 61048 is 3726186776.
LCM(61037,61048) = 3726186776
Least Common Multiple of 61037 and 61048 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61037 and 61048, than apply into the LCM equation.
GCF(61037,61048) = 1
LCM(61037,61048) = ( 61037 × 61048) / 1
LCM(61037,61048) = 3726186776 / 1
LCM(61037,61048) = 3726186776
Least Common Multiple (LCM) of 61037 and 61048 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61037 and 61048. First we will calculate the prime factors of 61037 and 61048.
Prime Factorization of 61037
Prime factors of 61037 are 67, 911. Prime factorization of 61037 in exponential form is:
61037 = 671 × 9111
Prime Factorization of 61048
Prime factors of 61048 are 2, 13, 587. Prime factorization of 61048 in exponential form is:
61048 = 23 × 131 × 5871
Now multiplying the highest exponent prime factors to calculate the LCM of 61037 and 61048.
LCM(61037,61048) = 671 × 9111 × 23 × 131 × 5871
LCM(61037,61048) = 3726186776
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