What is the Least Common Multiple of 9620 and 9631?
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 9620 and 9631 is 92650220.
LCM(9620,9631) = 92650220
Least Common Multiple of 9620 and 9631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9620 and 9631, than apply into the LCM equation.
GCF(9620,9631) = 1
LCM(9620,9631) = ( 9620 × 9631) / 1
LCM(9620,9631) = 92650220 / 1
LCM(9620,9631) = 92650220
Least Common Multiple (LCM) of 9620 and 9631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9620 and 9631. First we will calculate the prime factors of 9620 and 9631.
Prime Factorization of 9620
Prime factors of 9620 are 2, 5, 13, 37. Prime factorization of 9620 in exponential form is:
9620 = 22 × 51 × 131 × 371
Prime Factorization of 9631
Prime factors of 9631 are 9631. Prime factorization of 9631 in exponential form is:
9631 = 96311
Now multiplying the highest exponent prime factors to calculate the LCM of 9620 and 9631.
LCM(9620,9631) = 22 × 51 × 131 × 371 × 96311
LCM(9620,9631) = 92650220
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