What is the Least Common Multiple of 620 and 636?
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 620 and 636 is 98580.
LCM(620,636) = 98580
Least Common Multiple of 620 and 636 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 620 and 636, than apply into the LCM equation.
GCF(620,636) = 4
LCM(620,636) = ( 620 × 636) / 4
LCM(620,636) = 394320 / 4
LCM(620,636) = 98580
Least Common Multiple (LCM) of 620 and 636 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 620 and 636. First we will calculate the prime factors of 620 and 636.
Prime Factorization of 620
Prime factors of 620 are 2, 5, 31. Prime factorization of 620 in exponential form is:
620 = 22 × 51 × 311
Prime Factorization of 636
Prime factors of 636 are 2, 3, 53. Prime factorization of 636 in exponential form is:
636 = 22 × 31 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 620 and 636.
LCM(620,636) = 22 × 51 × 311 × 31 × 531
LCM(620,636) = 98580
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Related Least Common Multiples of 636
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- LCM of 636 and 643
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