What is the Least Common Multiple of 61327 and 61337?
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 61327 and 61337 is 3761614199.
LCM(61327,61337) = 3761614199
Least Common Multiple of 61327 and 61337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61327 and 61337, than apply into the LCM equation.
GCF(61327,61337) = 1
LCM(61327,61337) = ( 61327 × 61337) / 1
LCM(61327,61337) = 3761614199 / 1
LCM(61327,61337) = 3761614199
Least Common Multiple (LCM) of 61327 and 61337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61327 and 61337. First we will calculate the prime factors of 61327 and 61337.
Prime Factorization of 61327
Prime factors of 61327 are 7, 8761. Prime factorization of 61327 in exponential form is:
61327 = 71 × 87611
Prime Factorization of 61337
Prime factors of 61337 are 83, 739. Prime factorization of 61337 in exponential form is:
61337 = 831 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 61327 and 61337.
LCM(61327,61337) = 71 × 87611 × 831 × 7391
LCM(61327,61337) = 3761614199
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