What is the Least Common Multiple of 61370 and 61376?
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 61370 and 61376 is 1883322560.
LCM(61370,61376) = 1883322560
Least Common Multiple of 61370 and 61376 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61370 and 61376, than apply into the LCM equation.
GCF(61370,61376) = 2
LCM(61370,61376) = ( 61370 × 61376) / 2
LCM(61370,61376) = 3766645120 / 2
LCM(61370,61376) = 1883322560
Least Common Multiple (LCM) of 61370 and 61376 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61370 and 61376. First we will calculate the prime factors of 61370 and 61376.
Prime Factorization of 61370
Prime factors of 61370 are 2, 5, 17, 19. Prime factorization of 61370 in exponential form is:
61370 = 21 × 51 × 171 × 192
Prime Factorization of 61376
Prime factors of 61376 are 2, 7, 137. Prime factorization of 61376 in exponential form is:
61376 = 26 × 71 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 61370 and 61376.
LCM(61370,61376) = 26 × 51 × 171 × 192 × 71 × 1371
LCM(61370,61376) = 1883322560
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