What is the Least Common Multiple of 63220 and 63237?
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 63220 and 63237 is 3997843140.
LCM(63220,63237) = 3997843140
Least Common Multiple of 63220 and 63237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63220 and 63237, than apply into the LCM equation.
GCF(63220,63237) = 1
LCM(63220,63237) = ( 63220 × 63237) / 1
LCM(63220,63237) = 3997843140 / 1
LCM(63220,63237) = 3997843140
Least Common Multiple (LCM) of 63220 and 63237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63220 and 63237. First we will calculate the prime factors of 63220 and 63237.
Prime Factorization of 63220
Prime factors of 63220 are 2, 5, 29, 109. Prime factorization of 63220 in exponential form is:
63220 = 22 × 51 × 291 × 1091
Prime Factorization of 63237
Prime factors of 63237 are 3, 107, 197. Prime factorization of 63237 in exponential form is:
63237 = 31 × 1071 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 63220 and 63237.
LCM(63220,63237) = 22 × 51 × 291 × 1091 × 31 × 1071 × 1971
LCM(63220,63237) = 3997843140
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