What is the Least Common Multiple of 61261 and 61273?
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 61261 and 61273 is 3753645253.
LCM(61261,61273) = 3753645253
Least Common Multiple of 61261 and 61273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61261 and 61273, than apply into the LCM equation.
GCF(61261,61273) = 1
LCM(61261,61273) = ( 61261 × 61273) / 1
LCM(61261,61273) = 3753645253 / 1
LCM(61261,61273) = 3753645253
Least Common Multiple (LCM) of 61261 and 61273 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61261 and 61273. First we will calculate the prime factors of 61261 and 61273.
Prime Factorization of 61261
Prime factors of 61261 are 61261. Prime factorization of 61261 in exponential form is:
61261 = 612611
Prime Factorization of 61273
Prime factors of 61273 are 71, 863. Prime factorization of 61273 in exponential form is:
61273 = 711 × 8631
Now multiplying the highest exponent prime factors to calculate the LCM of 61261 and 61273.
LCM(61261,61273) = 612611 × 711 × 8631
LCM(61261,61273) = 3753645253
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