What is the Least Common Multiple of 60992 and 61009?
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 60992 and 61009 is 3721060928.
LCM(60992,61009) = 3721060928
Least Common Multiple of 60992 and 61009 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60992 and 61009, than apply into the LCM equation.
GCF(60992,61009) = 1
LCM(60992,61009) = ( 60992 × 61009) / 1
LCM(60992,61009) = 3721060928 / 1
LCM(60992,61009) = 3721060928
Least Common Multiple (LCM) of 60992 and 61009 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60992 and 61009. First we will calculate the prime factors of 60992 and 61009.
Prime Factorization of 60992
Prime factors of 60992 are 2, 953. Prime factorization of 60992 in exponential form is:
60992 = 26 × 9531
Prime Factorization of 61009
Prime factors of 61009 are 13, 19. Prime factorization of 61009 in exponential form is:
61009 = 132 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 60992 and 61009.
LCM(60992,61009) = 26 × 9531 × 132 × 192
LCM(60992,61009) = 3721060928
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