What is the Least Common Multiple of 61247 and 61266?
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 61247 and 61266 is 3752358702.
LCM(61247,61266) = 3752358702
Least Common Multiple of 61247 and 61266 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61247 and 61266, than apply into the LCM equation.
GCF(61247,61266) = 1
LCM(61247,61266) = ( 61247 × 61266) / 1
LCM(61247,61266) = 3752358702 / 1
LCM(61247,61266) = 3752358702
Least Common Multiple (LCM) of 61247 and 61266 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61247 and 61266. First we will calculate the prime factors of 61247 and 61266.
Prime Factorization of 61247
Prime factors of 61247 are 73, 839. Prime factorization of 61247 in exponential form is:
61247 = 731 × 8391
Prime Factorization of 61266
Prime factors of 61266 are 2, 3, 10211. Prime factorization of 61266 in exponential form is:
61266 = 21 × 31 × 102111
Now multiplying the highest exponent prime factors to calculate the LCM of 61247 and 61266.
LCM(61247,61266) = 731 × 8391 × 21 × 31 × 102111
LCM(61247,61266) = 3752358702
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