What is the Least Common Multiple of 61051 and 61065?
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 61051 and 61065 is 3728079315.
LCM(61051,61065) = 3728079315
Least Common Multiple of 61051 and 61065 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61051 and 61065, than apply into the LCM equation.
GCF(61051,61065) = 1
LCM(61051,61065) = ( 61051 × 61065) / 1
LCM(61051,61065) = 3728079315 / 1
LCM(61051,61065) = 3728079315
Least Common Multiple (LCM) of 61051 and 61065 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61051 and 61065. First we will calculate the prime factors of 61051 and 61065.
Prime Factorization of 61051
Prime factors of 61051 are 61051. Prime factorization of 61051 in exponential form is:
61051 = 610511
Prime Factorization of 61065
Prime factors of 61065 are 3, 5, 23, 59. Prime factorization of 61065 in exponential form is:
61065 = 32 × 51 × 231 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 61051 and 61065.
LCM(61051,61065) = 610511 × 32 × 51 × 231 × 591
LCM(61051,61065) = 3728079315
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