What is the Least Common Multiple of 62174 and 62181?
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 62174 and 62181 is 552291642.
LCM(62174,62181) = 552291642
Least Common Multiple of 62174 and 62181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62174 and 62181, than apply into the LCM equation.
GCF(62174,62181) = 7
LCM(62174,62181) = ( 62174 × 62181) / 7
LCM(62174,62181) = 3866041494 / 7
LCM(62174,62181) = 552291642
Least Common Multiple (LCM) of 62174 and 62181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62174 and 62181. First we will calculate the prime factors of 62174 and 62181.
Prime Factorization of 62174
Prime factors of 62174 are 2, 7, 4441. Prime factorization of 62174 in exponential form is:
62174 = 21 × 71 × 44411
Prime Factorization of 62181
Prime factors of 62181 are 3, 7, 47. Prime factorization of 62181 in exponential form is:
62181 = 33 × 72 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 62174 and 62181.
LCM(62174,62181) = 21 × 72 × 44411 × 33 × 471
LCM(62174,62181) = 552291642
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