What is the Least Common Multiple of 62219 and 62230?
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 62219 and 62230 is 3871888370.
LCM(62219,62230) = 3871888370
Least Common Multiple of 62219 and 62230 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62219 and 62230, than apply into the LCM equation.
GCF(62219,62230) = 1
LCM(62219,62230) = ( 62219 × 62230) / 1
LCM(62219,62230) = 3871888370 / 1
LCM(62219,62230) = 3871888370
Least Common Multiple (LCM) of 62219 and 62230 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62219 and 62230. First we will calculate the prime factors of 62219 and 62230.
Prime Factorization of 62219
Prime factors of 62219 are 62219. Prime factorization of 62219 in exponential form is:
62219 = 622191
Prime Factorization of 62230
Prime factors of 62230 are 2, 5, 7, 127. Prime factorization of 62230 in exponential form is:
62230 = 21 × 51 × 72 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 62219 and 62230.
LCM(62219,62230) = 622191 × 21 × 51 × 72 × 1271
LCM(62219,62230) = 3871888370
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