What is the Least Common Multiple of 60620 and 60636?
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 60620 and 60636 is 918938580.
LCM(60620,60636) = 918938580
Least Common Multiple of 60620 and 60636 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60620 and 60636, than apply into the LCM equation.
GCF(60620,60636) = 4
LCM(60620,60636) = ( 60620 × 60636) / 4
LCM(60620,60636) = 3675754320 / 4
LCM(60620,60636) = 918938580
Least Common Multiple (LCM) of 60620 and 60636 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60620 and 60636. First we will calculate the prime factors of 60620 and 60636.
Prime Factorization of 60620
Prime factors of 60620 are 2, 5, 7, 433. Prime factorization of 60620 in exponential form is:
60620 = 22 × 51 × 71 × 4331
Prime Factorization of 60636
Prime factors of 60636 are 2, 3, 31, 163. Prime factorization of 60636 in exponential form is:
60636 = 22 × 31 × 311 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 60620 and 60636.
LCM(60620,60636) = 22 × 51 × 71 × 4331 × 31 × 311 × 1631
LCM(60620,60636) = 918938580
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