What is the Least Common Multiple of 77955 and 77960?
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 77955 and 77960 is 1215474360.
LCM(77955,77960) = 1215474360
Least Common Multiple of 77955 and 77960 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77955 and 77960, than apply into the LCM equation.
GCF(77955,77960) = 5
LCM(77955,77960) = ( 77955 × 77960) / 5
LCM(77955,77960) = 6077371800 / 5
LCM(77955,77960) = 1215474360
Least Common Multiple (LCM) of 77955 and 77960 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77955 and 77960. First we will calculate the prime factors of 77955 and 77960.
Prime Factorization of 77955
Prime factors of 77955 are 3, 5, 5197. Prime factorization of 77955 in exponential form is:
77955 = 31 × 51 × 51971
Prime Factorization of 77960
Prime factors of 77960 are 2, 5, 1949. Prime factorization of 77960 in exponential form is:
77960 = 23 × 51 × 19491
Now multiplying the highest exponent prime factors to calculate the LCM of 77955 and 77960.
LCM(77955,77960) = 31 × 51 × 51971 × 23 × 19491
LCM(77955,77960) = 1215474360
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