What is the Least Common Multiple of 62229 and 62246?
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 62246 is 3873506334.
LCM(62229,62246) = 3873506334
Least Common Multiple of 62229 and 62246 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 62246, than apply into the LCM equation.
GCF(62229,62246) = 1
LCM(62229,62246) = ( 62229 × 62246) / 1
LCM(62229,62246) = 3873506334 / 1
LCM(62229,62246) = 3873506334
Least Common Multiple (LCM) of 62229 and 62246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62229 and 62246. First we will calculate the prime factors of 62229 and 62246.
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 62246
Prime factors of 62246 are 2, 31123. Prime factorization of 62246 in exponential form is:
62246 = 21 × 311231
Now multiplying the highest exponent prime factors to calculate the LCM of 62229 and 62246.
LCM(62229,62246) = 31 × 207431 × 21 × 311231
LCM(62229,62246) = 3873506334
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