What is the Least Common Multiple of 61415 and 61422?
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 61415 and 61422 is 3772232130.
LCM(61415,61422) = 3772232130
Least Common Multiple of 61415 and 61422 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61415 and 61422, than apply into the LCM equation.
GCF(61415,61422) = 1
LCM(61415,61422) = ( 61415 × 61422) / 1
LCM(61415,61422) = 3772232130 / 1
LCM(61415,61422) = 3772232130
Least Common Multiple (LCM) of 61415 and 61422 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61415 and 61422. First we will calculate the prime factors of 61415 and 61422.
Prime Factorization of 61415
Prime factors of 61415 are 5, 71, 173. Prime factorization of 61415 in exponential form is:
61415 = 51 × 711 × 1731
Prime Factorization of 61422
Prime factors of 61422 are 2, 3, 29, 353. Prime factorization of 61422 in exponential form is:
61422 = 21 × 31 × 291 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 61415 and 61422.
LCM(61415,61422) = 51 × 711 × 1731 × 21 × 31 × 291 × 3531
LCM(61415,61422) = 3772232130
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