What is the Least Common Multiple of 45980 and 45988?
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 45980 and 45988 is 528632060.
LCM(45980,45988) = 528632060
Least Common Multiple of 45980 and 45988 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45980 and 45988, than apply into the LCM equation.
GCF(45980,45988) = 4
LCM(45980,45988) = ( 45980 × 45988) / 4
LCM(45980,45988) = 2114528240 / 4
LCM(45980,45988) = 528632060
Least Common Multiple (LCM) of 45980 and 45988 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45980 and 45988. First we will calculate the prime factors of 45980 and 45988.
Prime Factorization of 45980
Prime factors of 45980 are 2, 5, 11, 19. Prime factorization of 45980 in exponential form is:
45980 = 22 × 51 × 112 × 191
Prime Factorization of 45988
Prime factors of 45988 are 2, 11497. Prime factorization of 45988 in exponential form is:
45988 = 22 × 114971
Now multiplying the highest exponent prime factors to calculate the LCM of 45980 and 45988.
LCM(45980,45988) = 22 × 51 × 112 × 191 × 114971
LCM(45980,45988) = 528632060
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