What is the Least Common Multiple of 62229 and 62247?
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 62229 and 62247 is 1291189521.
LCM(62229,62247) = 1291189521
Least Common Multiple of 62229 and 62247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62229 and 62247, than apply into the LCM equation.
GCF(62229,62247) = 3
LCM(62229,62247) = ( 62229 × 62247) / 3
LCM(62229,62247) = 3873568563 / 3
LCM(62229,62247) = 1291189521
Least Common Multiple (LCM) of 62229 and 62247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62229 and 62247. First we will calculate the prime factors of 62229 and 62247.
Prime Factorization of 62229
Prime factors of 62229 are 3, 20743. Prime factorization of 62229 in exponential form is:
62229 = 31 × 207431
Prime Factorization of 62247
Prime factors of 62247 are 3, 20749. Prime factorization of 62247 in exponential form is:
62247 = 31 × 207491
Now multiplying the highest exponent prime factors to calculate the LCM of 62229 and 62247.
LCM(62229,62247) = 31 × 207431 × 207491
LCM(62229,62247) = 1291189521
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